6. Consider the one dimensional wave equation with boundary conditions and initial conditions:

PDE : utt = c 2 uxx, BC : u(0, t) = u(L, t) = 0, IC : u(x, 0) = f(x), ut(x, 0) = g(x)

a) Suppose c = 1, L = 1, f(x) = 180x 2 (1 − x), and g(x) = 0. Using the first 10 terms in the series, plot the solution surface and enough time snapshots to display the dynamics of the solution

b) What happens to the solution as t → ∞? Explain your answer in light of (a) and the physical interpretation of the problem. Does (b) reflect this?

c) Redo parts (a) and (b) for c = 1, L = π, f(x) = 2 sin 3x, and g(x) = 1 − x.

Description For this part of the assignment, you will create a Grid representing the pacman’s game grid by using a 2D array of Strings as shown in Section 1. Also, you will design the functionality of the pacman as described in Section 2 and represent it in the grid. 1 The Grid The dimensions of the grid is 15 x 15 and the gird is composed of 4 boundaries: north, south, east, and west boundaries as shown in the Figure. The grid has the following characteristics: 1. The boundaries are represented with “X”, and this will block the pacman. 2. There may be obstacles that obstruct the pacman’s movement. 3. There are 4 gates represented with “ ”, and these gates communicates with the opposite gate. E.g., the north gate communicates with the south gate, and the east gate communicates with the west. This means that if the pacman is located in the north gate, next time it moves up will appear in the south gate, similar with the east and west gate. 4. The grid contains cookies represented with “.”. The idea is to collect all the cookies from the grid in order to win the game. Every time the the pacman eats a cookie, the cookie disappears. The Grid has the following fields • grid: is a 2D array of Strings • x-pos: the x-coordinate where the pacman is located • y-pos: the y-coordinate where the pacman is located • counter: a counter that represents the total number of cookies consumed by the pacman In addition, the Grid has the following methods: • initializeGrid(): This method will print a “fresh” new grid with the pacman located in the middle of the grid and the rest of the grid will contain cookies “.”. Except the boundaries of the grid. Your maze shall have four boundaries i.e., north, south, east, and west. The boundaries are represented with an “X”. Each boundary has a gate in the middle that allows the pacman to communicate to the opposite gate. • updateGrid(): will happen after the selection of moving “a”,“s”,“d” or “w” is done. Since these four options will move to west, south, east, or north, then you need to “update” the grid. The way to do this is by passing the x-coordinate and the y-coordinate as arguments to this method. The method then, will update the new position of the pacman (that is, the x and y coordinate from the arguments). Here is where the previous x and y position of the pacman will “disappear” (which is now a blank space “ ”). This method will reflect the new position of the pacman in the grid in case it moved. This method will also reflect the number of cookies consumed. • checkBoundaries(): Before moving the pacman to the new position, this method will check if is possible according the current coordinates. In case is a valid movement, the method will return true. In case the movement is invalid, due to a boundary or through something else, then your method will return false. The Pacman The pacman has the following characteristics: • The pacman has the ability to move through the gates (i.e., north to south, east to west). • The maze is full of cookies (e.g., “.”). The pacman must eat all the cookies to finish the game. Every time the pacman eats a cookie, it disappears from the maze the counter increases by 1. • If pacman movesUp by typing the key w, the pacman’s y-coordinate must increase by one unit. If the pacman’s y-coordinate exceeds the maze’s upper boundary, then the pacman’s y-coordinate AND the maze’s position shall not be updated. • If pacman movesDown by typing the key s, the pacman’s y-coordinate must decrease by one unit. If the pacman’s y-coordinate exceeds the maze’s lower boundary, then the pacman’s y-coordinate AND the maze’s position shall not be updated. • If pacman movesRight, by typing the key d, the pacman’s x-coordinate must increase by one unit. If the pacman’s x-coordinate exceeds the maze’s right boundary, then the pacman’s x-coordinate AND the maze’s position shall not be updated. • If pacman movesLeft, by typing the key a, the pacman’s x-coordinate must decrease by one unit. If the pacman’s x-coordinate exceeds the maze’s left boundary, then the pacman’s x-coordinate AND the maze’s position shall not be updated. Notice that by moving through the y-coordinate the program deals with the rows of the array, similar when dealing with the x-coordinate, the program deals with the columns of array. 3 The Game Engine In order to simulate a game, you must have an engine that keeps looping the position. This is exactly what happens in the old movie theater when they have the 35mm projectors. Here, we will simulate the same idea with a loop: 1. import java.util.Scanner; 2. public class Engine{ 3. public static void main(String [] args){ 4. String[][] grid = new String[10][10]; 5. int col = 5; 6. initializeGrid(grid); 7. grid[5][col] = "P"; 8. Scanner input = new Scanner(System.in); 9. while(true){ 10. print(grid); 11. String option = input.nextLine(); 12. if(option.equals("d")){ 13. // code goes here 14. } 15. // more code goes here 16. } 17. } 18. // methods go here 19. } In Line 4, will create a grid of 10 x 10 of Strings. In Line 7 will store the pacman (’P’) in the middle of the maze. In Line 9 will allow to run your program “forever” until you decide to finish your program. Line 11 will wait for the input from the user to move the pacman (i.e., “a”, “s”, “d”, or “w”). A complete engine can be found in Grid.java.

Find an article related to business Ethics and summarize it. The article has to be a journal article not an internet piece. Choose an article in an academic journal and answer the following questions:
What is the aim of the article
What is the method the author uses to reach the aim
What are the major findings and result in the article
Why do you think their findings are important.

How did you feel about your new position as programmer Analyst? Do you feel your academic preparation which is MBA has been sufficient for you to be able to fulfil your current job expectations? Explain why or why not.

PLEASE ANSWER IN 350 WORDS AND IN WORD FORMAT ONLY.

THANKS

Discuss the actions by the banker/advisor as well as her financial institution (like banker and introducer have fraud and other misconduct in house loans) by using relevant academic articles/books/reports. Please search on google and provide the reference link, and use your own word to explain, 200-300 words, thank you.

The Case of Florida State University   (April 2020)

Florida State University (Member of the Florida State University System) has had to convert the entire academic curriculum online.

Has the University become a virtual organization? What characteristics does Florida State University exhibit?

Finally, can a virtual organization adopt a culture?

1. Articulate the aspects of the university environment to consider as they adopt and implement ERM.
2. Describe the differences between formal structural and collegial organizational models as they relate to goal setting, decision making, and leadership.
3. Analyze strategies utilized at one higher education institution to adopt ERM processes to fit the decentralized academic environment.

In 1993, Windsor Company completed the construction of a building at a cost of $2,160,000 and first occupied it in January 1994. It was estimated that the building will have a useful life of 40 years and a salvage value of $65,600 at the end of that time. Early in 2004, an addition to the building was constructed at a cost of $540,000. At that time, it was estimated that the remaining life of the building would be, as originally estimated, an additional 30 years, and that the addition would have a life of 30 years and a salvage value of $21,600. In 2022, it is determined that the probable life of the building and addition will extend to the end of 2053, or 20 years beyond the original estimate.

1. Please Analyze the following case study on the subject of Procurement that involved significant and costly mistakes?

Mini case study – Scottish Parliament: the £431m question

Scotland’s new parliament building cost more than 10 times the original estimate and opened three years behind schedule.                

Official cost estimates changed 10 times and ballooned from the initial £40 million estimate to a final £431 million.

The procurement model chosen for Holyrood in early 1998 has emerged as the root of the problem. A fast-track contracting method known as construction management was used to build the parliament. It works by splitting a large building job into numerous smaller packages that are designed, tendered and let independently of one another.

Its main advantage is to speed up construction, because the overall design does not have to be complete before basic building work can begin.

It does not allow a client to know the total cost of a project until well after work has begun. It is considered risky for the client, which is responsible for running each individual package – in this case more than 60.

The project cost escalated from about £40 million in 1997 to £109 million in 1999, £241 million in 2001 and £294 million in 2002, and finally £431 million in February 2004. There were 18,000 design change orders over the five years of construction, combining

to form a three-year delay. Requests for design freezes on three occasions were ignored. The reality is that construction management was the only contract option for a client

wanting to make an early start on a project that was still at the design concept stage.
It is also clear that this was a classic case of procurement expertise being bypassed. The procurement department at the Scottish Office was not involved in the project. It was

not consulted over the procurement model.
There is nothing wrong with construction management as a procurement route. It is

best suited to high-quality, potentially high-cost projects, where the client is fully engaged, has a clear goal and works closely with the supply side team.

Some estimates put the money lost to delays and backtracking over design changes at as much as £100 million. If one trade contractor has a problem, it tends to ripple through all the others and cause delay and changes. The contracts are with the client, so the client picks up the cost of that.

However, between the extremes of fixed speedy construction management, a host of options exist under the heading of ‘conventional’ procurement. Their structures affect the risk and control over the final design that falls to the client.

The ‘design and build’ route would have seen the project management team drawing up a detailed design brief, which the main contractor then builds. It leaves the contractor footing the bill for cost overruns, but freezes the design as well.

A middle-of-the-road option, prime contracting, keeps design more open, but cuts the risk of costs going up if things go wrong. This is because a contractor joins the client’s project management team, and brings its entire supply chain of proven builders and suppliers along.

Then there is management contracting, where the client retains the design brief fully and splits up the project into small packages to be individually let, as in construction management. However, a professional intermediary runs all of the contractors on a daily basis, although they are still contracted to the client, which pays for design alterations.

Management contracting may, it seems, have given a more stable framework to the project by introducing an industry expert to run the many contractors.

Construction management was not the most suitable procurement vehicle. Sir Michael Latham, whose influential 1994 report, ‘Constructing the Team’, called on the construction industry to move towards partnering in the supply chain, says that full partnering should have been used to share the risk between client and contractor.

Turkish economy has struggled with current account deficits since the 2000s. However, although current account balance had a deficit, an adjustment in current account balance was observed in years 2002, 2009 and 2018. Discuss what type of automatic mechanisms and adjustment policies might have contributed to this adjustment. Explain clearly by being specific about the type of the mechanism and policy for each year.